X Y and Z are partners in a firm their capitals as on April 1st 2016 w...
Calculation of Interest on Capital for the year ending March 31, 2017
Given Information:
- Partners: X, Y, and Z
- Capital as of April 1, 2016: X - $500,000, Y - $400,000, Z - $300,000
- Additional capitals introduced on July 1, 2013: X - $100,000, Y - $80,000, Z - $50,000
- Y withdrew $15,000 from its capital on February 1, 2014
- Interest rate on capital: 8% per annum
Step 1: Calculate Total Capital for each partner
To calculate the total capital for each partner, we need to consider the initial capital and any additional capital introduced.
- X's Total Capital: $500,000 (April 1, 2016) + $100,000 (July 1, 2013) = $600,000
- Y's Total Capital: $400,000 (April 1, 2016) + $80,000 (July 1, 2013) - $15,000 (withdrawal) = $465,000
- Z's Total Capital: $300,000 (April 1, 2016) + $50,000 (July 1, 2013) = $350,000
Step 2: Calculate the Time Period
To calculate the interest, we need to determine the time period for which the capital is invested. The year ending March 31, 2017, means the time period is from April 1, 2016, to March 31, 2017.
- Time Period: 1st April 2016 to 31st March 2017 = 1 year
Step 3: Calculate Interest on Capital for each Partner
To calculate the interest on capital, we multiply the total capital by the interest rate and the time period.
- X's Interest: $600,000 (Total Capital) * 8% (Interest Rate) * 1 (Time Period) = $48,000
- Y's Interest: $465,000 (Total Capital) * 8% (Interest Rate) * 1 (Time Period) = $37,200
- Z's Interest: $350,000 (Total Capital) * 8% (Interest Rate) * 1 (Time Period) = $28,000
Step 4: Calculate Total Interest on Capital for the Firm
To calculate the total interest on capital for the firm, we sum up the individual interest amounts of each partner.
- Total Interest on Capital: $48,000 (X's Interest) + $37,200 (Y's Interest) + $28,000 (Z's Interest) = $113,200
Therefore, the interest on capital for the year ending March 31, 2017, is $113,200.